Access modal that is in another component in vuejs

I faced pretty the same problem.

1. You can pass modalShow field as a prop to the BaseLayout.vue component and modify modal as
   <b-modal v-model="modalShow">...</b-modal> (BootstarpPropExample).
   But I found this way pretty complicated if modal window in a separate component. That's because you have to pass, emit and process modalShow variable state across all levels.

IMHO the second way is more laconic and fancier

2. In BaseLayout.vue add show() method:

   <template>
       <b-modal id="modal1" ref="modal1" title="Bootstrap-Vue">
           <p class="my-4">Hello from modal!</p>
       </b-modal>
   </template>
   
   <script>
       export default {
           methods: {
               show() {
                   this.$refs.modal1.show();
               }
           }
       }
   </script>
   

   And in Analytics.vue import modal component and insert it into the template with a preferable ref name, so you can also call his methods with $refs:

   <template>
       <div>
           <button class="btn-pill btn-shadow btn-wide btn btn-danger btn-lg" @click="showModal()">
               ShowModal
           </button>
           <BaseLayout ref="modalComponent"/>
       </div>
   </template>
   
   <script>
       import BaseLayout from "./BaseLayout";
   
       export default {
           components: {
               BaseLayout
           },
           methods: {
               showModal() {
                   this.$refs.modalComponent.show();
               }
           }
       }
   </script>
   

I've found easier way of calling modal from outside of the component

Let's assume that we have some modal component

myModal.vue

<template>
    <div>
        <b-modal title="BootstrapVue" v-model="show_modal">
            <p class="my-4">Hello from modal!</p>
        </b-modal>
    </div>
</template>


<script>
export default {
    name: "myModal",
    data() {
        return {
            show_modal: false
        }
    }
}
</script>

Key to success here is to bind v-model to the key from data()

Then in main component lets call it myView.vue

myView.vue

<template>
    <div>
        <!-- button that call modal -->
        <b-button @click="$refs['main-modal'].show_modal = true">
            Launch demo modal
        </b-button>
        <!-- component in which we have modal -->
        <myModal ref="main-modal"/>
    </div>
</template>


<script>
import myModal from "@/modals/myModal.vue";

export default {
    name: "myView",
    components: {
        myModal
    }
}
</script>